A New Boundary Condition for the Three-Dimensional MHD Equation and the Vanishing Viscosity Limit.

Na Wang; Shu Wang

doi:10.4208/jpde.v30.n2.4

A New Boundary Condition for the Three-Dimensional MHD Equation and the Vanishing Viscosity Limit.

Authors

Na Wang College of Applied Sciences, Beijing University of Technology, Ping Le Yuan 100, Beijing 100124, China
Shu Wang College of Applied Science, Beijing University of Technology, Beijing 100124, China

DOI:

https://doi.org/10.4208/jpde.v30.n2.4

Keywords:

Incompressible MHD system;a new boundary condition;the general smooth domain;vanishing viscosity limit

Abstract

In this paper, we consider the viscous incompressible magnetohydrodynamic (MHD) system with a new boundary condition for a general smooth domain in $\mathbb{R}$³. We obtain the well-posedness of the system and the vanishing viscosity limit result.

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Published

2017-05-02

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Issue

Vol. 30 No. 2 (2017)

Section

Articles

How to Cite

A New Boundary Condition for the Three-Dimensional MHD Equation and the Vanishing Viscosity Limit. (2017). Journal of Partial Differential Equations, 30(2), 165-188. https://doi.org/10.4208/jpde.v30.n2.4